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Finding the Fourth Proportional to 264,000.96, 364,319.09 and 149,302.13

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Solution

The fourth proportional to 264,000.96, 364,319.09 and 149,302.13 is: 206,035.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,000.96 : 364,319.09 = 149,302.13 : x
  2. Step 2: Convert to fraction form
    264,000.96/364,319.09 = 149,302.13/x
  3. Step 3: Cross multiply
    264,000.96x = 364,319.09 × 149,302.13
  4. Step 4: Simplify right side
    264,000.96x = 54,393,613,568.56
  5. Step 5: Solve for x
    x = 54,393,613,568.56/264,000.96
  6. Step 6: Final answer
    x = 206,035.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.